Toric log del Pezzo surfaces

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This returns a list of toric log del Pezzo surfaces (up to a maximum index of seventeen) that match the given data. Data fields are optional and may contain only partial information.

Degree	-K_X²
Volume	Vol(Q)
Hilbert series	P_{-K_X}(t)	1 + t + t² + t³ + t⁴ + t⁵ + t⁶ + ...
Ehrhart series	Ehr_Q(t)	1 + t + t² + t³ + t⁴ + t⁵ + t⁶ + ...
Smoothable
Barycentre zero
Index	l_Q
Minimum local index
Maximum local index	m_Q
Order	o_Q
Number of vertices
Number of boundary points
Number of interior points

Authors and references

This data is provided by Alexander Kasprzyk, Maximilian Kreuzer, and Benjamin Nill.

Further details can be found in:

A M Kasprzyk, M Kreuzer, B Nill, "On the combinatorial classification of toric log del Pezzo surfaces", LMS Journal of Computation and Mathematics 13, 2010, 33-46^[BibTeX/MR]

Please consider citing the above reference if you use this data.

Toric log del Pezzo surfaces

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Authors and references